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Finding the Fourth Proportional to 9,620.08, 13,276.80 and 5,428

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Solution

The fourth proportional to 9,620.08, 13,276.80 and 5,428 is: 7,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.08 : 13,276.80 = 5,428 : x
  2. Step 2: Convert to fraction form
    9,620.08/13,276.80 = 5,428/x
  3. Step 3: Cross multiply
    9,620.08x = 13,276.80 × 5,428
  4. Step 4: Simplify right side
    9,620.08x = 72,066,470.40
  5. Step 5: Solve for x
    x = 72,066,470.40/9,620.08
  6. Step 6: Final answer
    x = 7,491.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.